Could you walk with/along_with/together_with me to the store? 001

Can you go to the store without me? Ancillary#002

Can we go to the store together? Ancillary#003

I am admiring the paintings (together) with my friend
[we probably infer that “friend” is paired with “I”, and thus also admiring or at least viewing the paintings, but this requires pragmatics] Ancillary#012

I am admiring the paintings (together) with the statues (= I am admiring the paintings, and the statues as well)
[we infer that “statues” is paired with “paintings”, and thus also being admired, but this requires pragmatics] Ancillary#013

(Together) with the president, the prime minister signed the declaration
[explicit: president is together with somebody in the context of signing; inferred: president is together with the prime minister, and they probably both signed] Ancillary#014

I was traveling (together) with my friend/infant Ancillary#015

my travels (together) with my friend Ancillary#016

I fought (together) with her to cure cancer. (= we fought on the same side) Ancillary#017

We were sitting/eating/working together. Ancillary#028

The duck and the chick are together. Ancillary#029